Is smoking during pregnancy associated with premature births? Toinvestigate this question, researchers selected a random sample of111 pregnant women who were smokers. The average pregnancy lengthfor this sample of smokers was 262 days. From a large body ofresearch, it is known that length of human pregnancy has a standarddeviation of 16 days. The researchers assume that smoking does notaffect the variability in pregnancy length. Find the 99% confidenceinterval to estimate the length of pregnancy for women who smoke.(Note: The critical $z$-value to use, $z_c$, is: 2.576) ( , ) Youranswer should be rounded to 3 decimal places.
